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Finding the Third Proportional to 325,287 and 507,603.75

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Solution

The third proportional to 325,287 and 507,603.75 is: 792,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,287 : 507,603.75 = 507,603.75 : x
  2. Step 2: Convert to fraction form
    325,287/507,603.75 = 507,603.75/x
  3. Step 3: Cross multiply
    325,287x = 507,603.75 × 507,603.75
  4. Step 4: Simplify right side
    325,287x = 257,661,567,014.06
  5. Step 5: Solve for x
    x = 257,661,567,014.06/325,287
  6. Step 6: Final answer
    x = 792,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.